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Originally Posted by milli360
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Originally Posted by Kaptain K
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Originally Posted by Sam5
Humans can’t accelerate fast enough to notice a biological time difference, because such a large amount of acceleration would crush them first.
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Yeah, right! An acceleration of one gravity for one year would suffice to reach a significant fraction of the speed of light. Certainly enough for time dilation to be noticeable. |
If we accelerate something at 9.8 m/s/s for one year, it will attain light speed near the end of the year. That's a result of there being about 30 million seconds in a year, so after a year, the velocity would be 300 million m/s--or, 300,000 km/s, more familiarly.
But an object that experiences such an acceleration will not experience a constant g, because of the distortion of its spacetime. How would that work? At one half c, gamma is what? 1/0.866? About 1.15 right? What does that do to our 9.8 m/s/s? Their rulers are shortened, so our meters are much longer, to them. Our seconds are shorter than their seconds, so the acceleration that they'd experience would be times 1.15 cubed, right? 1.5 g? |
Simple out: Assume the 9.8 m/s^2 is measured on your ship, or the constant output of its drive. That'll avoid the squishing of passengers, and makes it much more reasonable to explain as a drive behaviour. But then, instead, you get into the issue of what happens at the end of the year, as measured by those on board....
Meanwhile, though, what will happen is that those outside the ship, and at rest relative to its origin, will see the ship's acceleration being reduced, as it creeps up on
c.